Year 9 Revision Guide

Our top tips to improve your revision!

A complete guide to British curriculum maths, for GCSE or IGCSE. All the professional lessons, worksheets and extensions are available and completely free. Below is a full list of topics and resources to revise Year 9 Maths at ease.
All Year 9 Videos can be found here.

Check out our revision page for tips on how to revise maths effectively.

1. Solving Harder Linear Equations

Learning ObjectiveRevision Resource

Practice
Extension
Be able to solver linear equations, including with fractional coefficients. Solving Equations Revision (from Year 7)

Solving Harder Equations Video

Solving Equations with x on Both Sides Video
Dr Austin Maths: Equations Practice

Markscheme for above.

Equations with Fractions

Dr Austin Maths: Equations with Fractions

Markscheme for Above.
Interwoven Maths Tasks 🆕🎉

Solving Equations with Parallel Lines

Solving Equations with Fractions

Solving Equations with Decimals

2. Percentages

Learning ObjectiveRevision ResourcePracticeExtension
Revision:
Convert between Fractions, Decimals and Percentages.

Find a Percentage of an Amount
Fractions, Decimals and Percentages

Percentage of an Amount Video
FDP Worksheet

Percentage of an Amount Practice
FDP Transum
Be able to calculate percentage change.Percentage Changes Revision VideoPercentage Change Transum
Understand reverse percentage problems, and be able to undo a percentage change.

Eg: Sally bought a car in a sale of 20% off. She bought the reduced car for £4320. How much did the car cost before the sale?
Reverse Percentages VideoReverse Percentages Corbett Maths
Understand the difference between compound interest and simple interest.

Be able to calculate return on compound interest.
Compound Interest Revision VideoCompound Interest TransumCompound Interest Exam Questions

3. Expanding and Factorising

Learning ObjectiveRevision ResourcePracticeExtension
Year 8 Recap:Be able to expand brackets and simplify in algebraic expressions.

Be able to Factorise Simple Expressions
Expanding Brackets

Factorise Expressions Revision Video
Expanding Brackets Practice 1

Expanding Brackets Practice 2

Extra Practice on Expanding Brackets

Be able to expand double brackets, and simplify after. Expanding BracketsDouble Brackets

Double Brackets 2
Expanding Double Brackets Worksheet
Be able to factorise quadratic equations. Factorising Quadratic Equations VideoFactorising Quadratics TransumQuadratic Equations are very important for GCSE/IGCSE maths. It may be worth studying more of them now. This playlist will help.

4. Frequency Tables

Learning ObjectiveRevision ResourcePracticeExtension
Revision: Practice finding the mean from a frequency table (Year 8 topic).Grouped Frequency Tables VideoFrequency Tables Transum
Be able to estimate the mean from a grouped frequency table.

Be able to find the modal class for a grouped frequency table/
Grouped Frequency Tables VideoGrouped Frequency Tables TransumGrouped Frequency Tables MathsGenie

Grouped Frequency Tables Answers MathsGenie

Extension: Solve problems where data is missing from the table, but the mean is given. This involves working backwards. For example: Question 8 here.

5. Rearranging Formulas

Learning ObjectiveRevision ResourcePracticeExtension
Be able to rearrange simple formulas. Rearranging Harder EquationsTransum Changing the Subject
Be able to rearrange harder formulas, including where the variable appears twice. (As above)Transum Changing the Subject 2Changing the Subject Textbook

Changing the Subject Exam Questions

Changing the Subject Exam Quesitons, Answers

6. Real Life Graphs

Learning ObjectiveRevision ResourcePracticeExtension
Be able to interpret information from a range of graphs.

Be able to use Conversion graphs to convert between 2 measurements.
Video coming soon.

Bitesize Revision

Conversion Graphs Video
Interpreting Line Graphs Corbett Maths

Conversion Graphs Worksheet
Be able to interpret Distance-Time graphs.Distance Time Graphs RevisionDistance Time Graphs WorksheetNew!
Addvance Maths worksheet on Motion Graphs!
🎉
Be able to interpret Speed-Time graphs/Velocity-Time Graphs 🆕

Speed-Time Graphs (alternate)
Speed Time Graphs WorksheetSee above.

Full Coverage from DrFrost Maths of Speed/Distance Time Graphs.

7. Straight Line Graphs, y = mx + c

Learning ObjectiveRevision ResourcePracticeExtension
Be able to find the midpoint between two coordinates on a graph.Midpoints Revision VideoMidpoints WorksheetAddvance Maths Worksheet on Midpoints

Answers for the above.
Know how to complete a table of values, and use this to plot a straight line graph.Plotting Straight Line GraphsPlotting Straight Line Graphs WorksheetAddvance Investigation on Plotting Straight Line Graphs.
Understand the concept of gradient and y-intercept.

Know that y = mx + c is the equation of any straight line, where m is the gradient of the line and c is the y-intercept.
y = mx + c videoEquation of a Line WorksheetGuess the Straight Line Activity – Desmos
Find the equation of a line from a line on a graph.(as above)Transum y=mx+cExtension: GCSE Style Exam Questions Video

8. Probability

Learning ObjectiveRevision ResourcePracticeExtension

Revise: Introduction to Probability.

Understand the term expected frequency, and calculate it from:

Expected Frequency = (Probability of Occurring) x (the number of trials)
Introduction to Probability VideoCorbett Maths Probability Exam Questions

Transum: Probability
Understand the concept of a sample space diagram.

Be able to create a sample space diagram.

Use a sample space diagram to calculate the probability of something happening.
Sample Space Diagrams VideoSample Space Diagrams Worksheet

Sample Space Diagrams Worksheet Answers

Dr Austin Maths: Sample Space Diagrams Questions

Markscheme for above.
Exam style questions on probability.

Markscheme for above.

ClassWizz Calculator Guide!

Get even faster in your maths by mastering your calculator. Our quick and simple videos help you understand how to use your calculator quickly and simply.


9. Angles in Polygons

Angles Facts Revision Page

Learning ObjectiveRevision ResourcePracticeExtension
Understand the term regular polygons, and be able to identify them. BBC Bitesize Polygons
Be able to calculate the sum of angles in a polygon using the equation S=180(n-2)Angles in Polygons Video

GCSE Angle Facts Revision Page
Dr Austin Maths: Angles in Polygons Table

Markscheme for above

Corbett Maths: Angles in Polygons Worksheet
Interwoven Maths:
Angles in Polygons with Ratio
Be able to find the interior and exterior angles of polygons. (See video above)GCSE Exam Style Questions

Mark Scheme for Above

Dr Austin Maths: Mixed Practice for Angles

Markscheme for Above

10. Sets and Venn Diagrams

Learning ObjectiveRevision ResourcePracticeExtension
Use and understand set notation. Sets and Venn Diagrams Video
Be able to use Venn Diagrams to represent sets, and interpret Venn Diagrams. Venn Diagrams Problems Venn Diagrams Transum

Sets and Venn Diagrams Exam Style Questions

11. Inequalities

Learning ObjectiveRevision ResourcePracticeExtension
Understand and use the >,<,   and symbols. Inequalities BBC Bitesize
Be able to express inequalities on a number line.Inequalities VideoInequalities on Number Lines Transum
Be able to solve linear inequalities by rearranging. (See video above)Solving Inequalities Transum

Solving Inequalities 2 Transum
You may be interested in inequality graphs from Year 10 Maths

12. Transformations: Enlargements, Translations, Reflections and Rotations

Transformations Revision Page

Learning ObjectiveRevision ResourcePracticeExtension
Be able to translate a shape by a given vector.

Be able to describe a given translation.
Transformations

Describing Transformations
Transformations Maths Genie

Transformations MathsGenie MarkScheme
Desmos Activities: Explore the 4 Transformations with these interactive visualisations. What do you notice?

Enlargements

Translations

Rotations

Reflections
Be able to enlarge a shape by a given scale factor, around a given centre of enlargement.

Be able to enlarge using negative and fractional scale factors.

Be able to describe a given enlargement.
Negative and Fractional Scale Factor EnlargementsMixed Transformations including Negative Scale Factors

Mark Scheme
Be able to rotate a shape around a given centre.

Be able to describe a given rotation.
(As above)
Be able to reflect a shape in a given line.

Be able to describe a given reflection.
(As above)

13. Speed, Distance and Time Calculations

Learning ObjectiveRevisions ResourcePracticeExtension
Understand that different countries have different currency.

Be able to convert between different currencies by multiplying or dividing.
Speed, Time and Distance VideoCurrency Conversions 
Convert between different metric measurements. Conversion Posters

Metric Conversions Video
Length

Area

Time

Speed, Distance and Time Worksheet
Dr Austin Maths: Fill in the Blanks

Mark Scheme for Above

Word Problems for Speed (Dr Austin Maths)

Markscheme for the Above

14. Standard Form

Learning ObjectiveRevisions ResourcePracticeExtension
Understand the concept of standard form.
Be able to convert numbers to standard form.
Be able to convert standard form into normal numbers.
Standard Form VideoTransum: Standard FormCorbett Maths Standard Form Textbook
Be able to solve problems involving standard form. Prime Factorisation VideoExam Style Questions Involving Standard Form

15. Recurring Decimals to Fractions

Learning ObjectiveRevision ResourcePracticeExtension
Year 7 Revision: Be able to convert between fractions, decimals and percentages.Fractions, Decimals and Percentages VideoFDP Conversions Practice Transum
Be able to convert recurring decimals to fractions algebraically. Recurring Decimals VideoTransum Recurring Decimals 

This is an excellent opportunity to revise Laws of Indices, Highest Common Factors, Lowest Common Multiple and Prime Factorisation!

16. Trigonometry and Pythagoras Theorem

Learning ObjectiveRevision ResourcePracticeExtension
Year 8 Revision: Know and be able to use Pythagoras Theorem. Pythagoras Theorem VideoPythagoras 1

Pythagoras 2
Be able to find missing lengths of a right-angled triangle given an angle and a length, using SOHCAHTOA. SOHCAHTOA: Finding Lengths VideoFinding Lengths Transum
Be able to find missing missing of a right-angled triangle given two lengths, using SOHCAHTOA. SOHCAHTOA: Finding Angles VideoFinding Angles TransumExtension: GCSE Exam style questions.

17. Graphs

Learning ObjectiveRevision ResourcePracticeExtension
Be able to plot quadratic graphs using a table of values.Plotting Quadratic Graphs Video

Desmos Activity – Plotting Quadratic Graphs
Follow the instructions on the left of the screen.
Plotting Quadratic Graphs Questions
Be able to plot cubic graphs using a table of values.Cubic Graphs Revision Video

Note: you only need to know how to plot a cubic graph. The video above goes into further detail.
Plotting Cubic Graphs Exam Questions
Know the general shapes of a quadratic graph, and know some features of them.Extension: Watch this video on quadratic graphs.

Note: This is probably a bit advanced for Year 9, but may still be interesting and helpful.

Year 9 Retention Sheet can be found here! Perfect for practice of all Year 9 topics.

For more extension activities, please visit our UKMT resources page.
We also have a general page for more revision resources.

We hope this was useful, however we’d also appreciate your feedback.


Disclaimer: This is a just a guide. Some schools may follow a different curriculum, and may teach different topics in different years. Addvance Maths is not responsible for content on external websites.

If you find an error, please let us know by emailing: addvancemaths@gmail.com